The generator matrix

 1  0  1  1  1  1  1  1  6  1  0  1  1  1  1  3  1 X+6  1  1  1 2X+3 2X+6  1  1  1  1  1  1  1  1 2X+3 X+3  1  1 X+6  1 X+3  1  1  1  1  1  1  1  1  1 X+6  0  1  1  3 2X+6 X+3  3  X  1  1
 0  1  1  8  6  5  0  7  1  8  1 2X+7 X+7 2X+8 X+6  1 X+8  1 X+5 2X  1  1  1 2X+6 2X+5 X+3  7 2X+6 X+5 X+8 X+3  1  1 X+1 2X+1  1 X+1  1 2X+5 2X+2 X+5  X X+3 X+4  7 2X+7 2X  1  1 X+1 X+7  1  1  1  1  1 2X+8 X+6
 0  0 2X  3 X+3 X+6 2X+3 2X+6  X 2X+3 2X+3  6 X+3  0  6 X+3  X 2X  0  6 X+6  3 X+3  X 2X 2X+6  6 2X+6 2X  3  X 2X+3  X  3 X+3  3 2X+6  0 X+6  X 2X+3  0 X+3 X+6  3 2X 2X+3 2X+6  6 2X 2X+3  0 2X 2X X+6 X+6 2X+6  X

generates a code of length 58 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+304x^111+546x^112+804x^113+970x^114+636x^115+654x^116+568x^117+378x^118+540x^119+602x^120+372x^121+90x^122+54x^123+6x^128+6x^130+12x^131+2x^132+10x^135+6x^136

The gray image is a code over GF(3) with n=522, k=8 and d=333.
This code was found by Heurico 1.16 in 0.16 seconds.